Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-05-20
Phys.Lett.B460:58-62,1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, 3 additional references
Scientific paper
10.1016/S0370-2693(99)00751-0
The formulation of Brans-Dicke (BD) gravity with matter in the Einstein frame is realized as Einstein gravity with dilaton and dilaton coupled matter. We calculate the one-loop 4d anomaly-induced effective action due to N dilaton- coupled massless fermions on the time-dependent conformally flat background with non-trivial dilaton. Using that complete effective action the (fourth-order) quantum corrected equations of motion are derived. One special solution of these equations representing an inflationary Universe (with exponential scale factor) and (much slower) expanding BD dilaton is given. Similarly, the 2d quantum BD Universe with time-dependent dilaton is constructed. In the last case the dynamics is completely due to quantum effects.
Geyer Bodo
Odintsov Sergei D.
Zerbini Sergio
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